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A trivial subgroup consists of ___________(a) Identity element(b) Coset(c) Inverse element(d) RingI had been asked this question in a national level competition.My query is from Groups topic in portion Groups of Discrete Mathematics

Answer»

The correct option is (a) Identity ELEMENT

To explain: Let G be a GROUP under a binary operation * and a SUBSET H of G is called a SUBGROUP of G if H forms a group under the operation *. The trivial subgroup of any group is the subgroup consisting of only the Identity element.



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